Originally Posted by
angel031792
The Fernandez family is making shelves to hang on wall brackets for the three kids' bedrooms. They bought a 4 feet by 8 feet sheet of plywood to cut into shelves 24 inches long by 8 inches deep. This would make the correct number of shelves, with no wood left over. They also bought some trime to edge the shelves.
They are making Ricardo 3/4 as many shelves as they are making for Anthony. Maria is getting four more shelves than her brother Ricardo.
How many shelves are being made for each person?
i know that the total shelves being made is 24 but im not sure about how many each person is getting. :confused:
Make an equation like this:
Amount of shelves Anthony gets = X
Ricardo = (3/4)*X
Maria = (3/4)*X + 4
Now, Anthony + Ricardo + Maria = 24 which means that
X + (3/4)*X + (3/4)*X + 4 = 24
(5/2)*X = 20
X = 20 * (2/5) = 8
So, Anthony gets 8 shelves.
Ricardo gets (3/4)*8 = 6
Maria gets "Ricardo" + 4 = 10
To check the result, we add 10 + 6 + 8 = 10 + 14 = 24
So our calculation is correct.